what is cos of negative pi/3?
what is sin of negative pi/3?

Answers

Answer 1

pi/3 is equivalent to 60 degrees, as 2pi is equal to 360 degrees. cos(60) in a triangle yields 1/2, and sin(60) yields (3^(1/2))/2. Thus, -pi/3, or -60 degrees would be a fourth quadrant point on the unit circle and these values would be negative as well, at cos(-pi/3)=-1/2 and sin(-pi/3)=-(3^(1/2))/2

Answer 2

Cosine is even function, so:

[tex]$\cos(-\frac{\pi}{3})=\cos(\frac{\pi}{3})=\frac{1}{2} [/tex]

and sine is odd function, so:

[tex]$\sin(-\frac{\pi}{3})=-\sin(\frac{\pi}{3})=-\frac{\sqrt{3}}{2} [/tex]

Related Questions

At which angle will the hexagon rotate onto itself? 60° 90° 120° 180°

Answers

Answer:

Step-by-step explanation:

Answer: The hexagon will rotate onto itself at 60°.

Step-by-step explanation:

A hexagon is a regular polygon with six sides) having all its sides and all its angles are equal.

For a regular polygon , Order of rotation of the figure = Number of sides .

i.e. Order of rotation for hexagon = 6

Let [tex]\theta[/tex] be the angle at which hexagon rotate onto itself, then we have

[tex]\theta=360^{\circ}\ \div6=60^{\circ}[/tex] [∵One complete rotation= [tex]360^{\circ}[/tex]]

Hence, The hexagon will rotate onto itself at 60°.

Which equation can be used to solve this problem?

Molly bought 6 packs of trading cards. Each pack cost $3. She also bought 1 pack of gum. It cost $2. How much did Molly spend altogether?

A.
6 ÷ 2 × 3 = x

B.
6 + 3 × 2 = x

C.
6 × 3 ÷ 2 = x

D.
6 × 3 + 2 = x

Answers

$12 dollars I think sorry if I got it wrong

Which expression is represented by the number line?

Answers

b is the answer
hope it helped

Answer:

3 - 5.5 +1.5

Step-by-step explanation:

LEts analyze the given number line

We always start with 0

Arrow goes 3 units to the right, so we put positive 3

from 3 , the arrow ends at -2.5. Arrow goes to the left so we subtract to find the distance. -2.5-3= -5.5

from -2.5 we add 1.5 to reach -1

So the expressio becoems 3 and then subtract 5.5 and then add 1.5

3 - 5.5 +1.5

Which set is an example of like fractions?

Answers

Simplify:
20/100 20 ÷ 2 = 10 100 ÷ 2 = 50.
Answer: 10/50 but 5 = both 10 and 5 so 10 ÷ 2 = 5 and 50 ÷ 2 = 25.
Answer: 5/25 = 1/5 = 5 because 5 ÷ 5 = 1 and 25 ÷ 5 = 5.
That's what a like fraction is. Hope you get this right and I hope you do great on your homework for a test you might have later. :)

Consider a graph of the equation y = −3x + 4. What is the y-intercept?
4
−4
3
−3

Answers

Your y-intercept is 4. In the equation y=mx+b your slope is m and y-intercept is b.

Answer:

it will be 4

Step-by-step explanation:

Can someone please help me. Preferably ASAP
q=
7(1-q)=-3(5+3q)

Answers

7(1-q ) = -3(5+3q) remove brackets by multiplication
7-7q = -15-9q group the like terms
-7q + 9q =-15-7
2q = -22 then divide by 2
q = -11

Susan's penny bank is 1/4 full. After she adds 360 pennies, it is 5/8 full. How many pennies can Susan's bank hold?

Answers

576 is the answer, I think!!! Is it multiple choice?

Since 360 pennies are added to Susan's penny bank and it ends up as being 5/8 full, we need to find out how many pennies is equivalent to 8/8 (1, or full).

We already know that 360 equals 5/8 of Susan's penny bank, so divide 360 by 8.

360 / 8 = 45

Then, multiply 45 by 3 in order to find how many pennies is equivalent to 3/8 of the penny bank.

45 x 3 = 135

After that, add 360 to 135, which is theoretically the same as 5/8 + 3/8.

360 + 135 = 495

5/8 + 3/8 = 8/8 or 1

Therefore, Susan's penny bank can hold 495 pennies in total.

P.S. This may not be your preferred method of solving this problem, but this is certainly one of the ways of understanding them. -AM

Find an equation of the tangent line to the function y = 4x4 at the point p(1, 4).

Answers

hello :
f(x) = 4x4
f'(x) = 16x3
f(1) =4
f'(1) = 16
an equation of the tangent line is : y - 4 = 16(x - 1)

The equation of the tangent line to the function y = 4x⁴ at (1, 4) will be y = 16x - 12.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

The function is given as,

y = 4x⁴

The slope of the line is given as,

m = y'

m = 16x³

m = 16 (1)³

m = 16

Then the equation of the tangent line is given as,

y = 16x + c

The equation is passing through (1, 4). Then we have

4 = 16 (1) + c

4 = 16 + c

c = - 12

The equation of the tangent line to the function y = 4x⁴ at (1, 4) will be y = 16x - 12.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

If a line is perpendicular to another, and one slope is -2, what is the slope of the other line

Answers

The function for a perpendicular line is -1/(slope). Since the slope is -2, we have -1/-2=1/2

Which function below is the inverse of f(x)=x^2-25

Answers

f(x) = x^2-25

inverse:

y = x^2-25

x = y^2-25

y = sqrt(5 +25)

Answer is B

help with question 47 please

Answers

[tex]\bf (x-y)^2\implies x^2-2xy+y^2\qquad \begin{cases} x^2=25\\ x=\sqrt{25}\\ x=5\\ -----\\ y^2=9\\ y=\sqrt{9}\\ y=3 \end{cases} \\\\\\ (25)-2(5)(3)+(9)\implies 25-30+9[/tex]

In the figure, angle D measures 31° and angle A measures 27°.

The measurement of angle B is °.
The measurement of angle F is °.

Answers

Angle b is 63
Angle f is 59

Answer:

63 and 59 are correct

Step-by-step explanation:

Nikos sold muffins at his club's bake sale.he spent $28.50 on supplies. he sold his muffins for $0.75 each, and made a profit of $36.75. write and solve an equation to find out how many muffins nikos sold.

Answers

Divide $0.75 by $36.75? Sorry if I'm wrong, mathematics isn't my best subject.

.help me please thank you

Answers

the first one because all the other ones are wrong

the answer is B
hope it helps

Let f ( x ) = 2 x − 1 , g ( x ) = 3 x , and h ( x ) = x ^2 + 1 , what is h ( g ( -4 ) ) ?

Answers

[tex]\bf \begin{cases} f(x)=2x-1\\ g(x)=3x\\ h(x)=x^2+1 \end{cases}\\\\ -------------------------------\\\\ g(-4)=3(-4)\implies \boxed{g(-4)=-12} \\\\\\ h(~~g(-4)~~)\implies h\left( \boxed{-12} \right)\implies h(-12)=(-12)^2+1 \\\\\\ h(-12)=144+1[/tex]

If the measures of two complimentary angles are 7x and 11x , then find x

X=5
X=10
X=22.5
X=12

Answers

as you know that sum of complementary angles equal 90°

so,

7x + 11x = 90
18x = 90
x = 90/18
x =5

so,
option A is the correct one.

Answer:

x = 5

Step-by-step explanation:

Complementary angles are two angles whose sum is 90º

So, if we have two complementary angles 7x and 11x we know that their sum is 90

We are going to write the equation and solve for x:

[tex]7x+11x=90\\18x=90\\x=90/18\\x= 5[/tex]

Therefore, x would be 5. And the angles would be 7(5) = 35º and 11(5) = 55º

Please help!! Will mark brainliest!!

Match each function to its domain.

Answers

f(x) = sqrt(x-5) Domain: all real numbers greater or equal to 5 f(x) = 7/(x-8) Domain: all real numbers except 8 f(x) = sqrt(x) Domain: all positive real numbers and 0 f(x) = 8x Domain: all real numbers The domain of a function is the set of all numbers for which that function is valid. You have 4 functions and 4 possible domains to choose from. Let's work each one out. f(x) = sqrt(x-5) You're not allowed to take the square root of a negative number. So the domain for this function would be all values of x >= 5. That way you're taking the square root of 0 or higher. Let's see if any of your choices match that. And you have the choice "all real number greater or equal to 5" f(x) = 7/(x-8) You're not allowed to divide by 0. And the denomerator becomes 0 if x equals 8. So the domain is all real numbers except 8 which happens to be one of the choices. f(x) = sqrt(x) This is much like the 1st choice. You can't take the square root of a negative number. So the domain is all non-negative numbers. Looking at the choices, there isn't a match, but there's the choice "all positive real numbers and 0" which means the same thing. So that's the answer. f(x) = 8x I don't see anything that would make it impossible to evaluate this expression. So its' domain is all real numbers. And you have that as a choice.

Answer:

Step-by-step explanation:

The sum of the first 100 positive numbers?

Answers

s ( s + 1)/ 2
so The sum of the first 100 positive numbers

100(100 + 1) / 2
= 50(101)
= 5050

What is the common number between 1, and 100?

Answers

50 is a common number Broski

what is the coefficient in the algebraic expression 7XY squared ?

Answers

Coefficients are the number(s) before the variables in an equation or expression. Since 7 is before the variables, 7 is the coefficient. Good luck!

Molly jogged at a rate of 6 miles per hour. what is her rate in feet per second?

Answers

1 miles = 5280 ft....so 6 miles = (6 * 5280) = 31680 ft
60 seconds in a minute.....60 minutes in an hr....(60 * 60) = 3600 seconds in an hr

31680 / 3600 = 8.8 ft per second <==

Answer: the correct answer would be 8.8 ft/s

Did i get this right?

Answers

No it is C-2,-3 D-2,5 hope this helps

Plants A birch tree grew 2.5 inches in five months. A bean plant grew 8 inches in 10 months. It rosebush grew 5 inches in eight months. Which grew faster?

Answers

Birch:
2.5in/5mo=.5in/mo
Bean:
8in/10mo=.8in/mo
Rosebush:
5in/8mo=.625in/mo

Bean

Answer:

Bean plant grew faster .

Step-by-step explanation:

As given

Plants A birch tree grew 2.5 inches in five months.

i.e 2.5 inches = 5 months

Now calculate birch tree in one month .

[tex]Birch\ tree\ grew\ in\ one\ month = \frac{2.5}{5}[/tex]

= 0.5 inches

As given

A bean plant grew 8 inches in 10 months.

i.e 8 inches = 10 months

Now calculate bean plant in one month .

[tex]Bean\ plant\ grew\ in\ one\ month = \frac{8}{10}[/tex]

= 0.8 inches

As given

It rosebush grew 5 inches in eight months.

i.e 5 inches = 8 months

Now calculate rosebush in one month .

[tex]Bean\ rosebush\ in\ one\ month = \frac{5}{8}[/tex]

= 0.63 inches (Approx)

Therefore Bean plant grew faster .

Which mixed number is greater than 6.78?

A.6 2/7

B. 6 3/4

C. 6 7/9

D.6 4/5

Answers

D because D as a non-fraction is 6.8

The length of a rectangular garden is 7 feet longer than its width. The perimeter of the garden is 38 feet. Find the width and length of the garden

Answers

38=2(2w+7)
19=2w+7
12=2w

w=6
l=13

6x equals 7-4y solve for y

Answers

The given values of x, the corresponding values of y are:

1. When x = -2, [tex]$y = \frac{19}{4}$[/tex]

2. When x = -1, [tex]$y = \frac{13}{4}$[/tex]

3. When x = 0, [tex]$y = \frac{7}{4}$[/tex]

Let's solve the equation [tex]$6x = 7 - 4y$[/tex] for y:

[tex]\[6x = 7 - 4y\][/tex]

First, isolate the term with y:

[tex]\[4y = 7 - 6x\][/tex]

Next, divide both sides by 4 to solve for y:

[tex]\[y = \frac{7 - 6x}{4}\][/tex]

Now, we can find the values of y for each given value of x:

1. For x = -2:

[tex]\[y = \frac{7 - 6(-2)}{4} = \frac{7 + 12}{4} = \frac{19}{4}\][/tex]

2. For x = -1:

[tex]\[y = \frac{7 - 6(-1)}{4} = \frac{7 + 6}{4} = \frac{13}{4}\][/tex]

3. For x = 0:

[tex]\[y = \frac{7 - 6(0)}{4} = \frac{7}{4}\][/tex]

Therefore, for the given values of x, the corresponding values of y are:

1. When x = -2, [tex]$y = \frac{19}{4}$[/tex]

2. When x = -1, [tex]$y = \frac{13}{4}$[/tex]

3. When x = 0, [tex]$y = \frac{7}{4}$[/tex]

Complete question:

Solve equation for y. Then find the value of y for each value of x.

6x = 7 - 4y; x = -2, -1, 0

Final answer:

To solve the equation 6x = 7 - 4y for y, subtract 7 from both sides and divide by -4 to isolate y.

Explanation:

To solve the equation 6x = 7 - 4y for y, we need to isolate y on one side of the equation. First, we can move the 7 to the other side by subtracting it from both sides:

6x - 7 = -4y

Next, we can divide both sides by -4 to solve for y:

y = (6x - 7) / -4

How many photocopies can you make for $2.00 at the rate of three copies for ten cents?

Answers

Convert $2 to cents, which is 200 cents.
10 cents =3 copies
200/10 =20
20x3 =60copies

or
10 cents =3copies,
100 cents =30copies.
100 x 2 =200cents.
2x30 copies =60 copies.

or in ratio form
10cents : 3copies
multiply 20 to get 200, you need to multiply on both sides,
= 200cents : 60copies

What is the average of all integers from 11 to 35

Answers

24 becuase add the two together then divide by two

1st let's calculate the sum from 1 to 35:

it's an arithmetic progression with first term a = 11, last term = 35 and the number of term n = 25

s= (11+35)25/2 = 575

Average = 575/25 = 23

Please help with #10 and #11

Answers

Divide ans Subtract
Assuming it was just one whole family so
51 - 6 = $45
45 ÷ 4.5 = (Answer for number 10)There was 10 people on the whole family

10) Let x be the number of people of this family:
The total paid with the parking is $51
The total paid WITHOUT the parking is $51-$6 = $45
They spent $3.5(x) for the entry, they also spent $5.5(x) for the pass:
3.5(x) + 5.5(x) = 45
9x = 45 and x = 5 people

11) Translate English to Math language:
Let x be this number:
5.x - 18 - 4.x = -36

x - 18 = -36 Add 18 to both sides
x - 18 + 18 = - 36 + 18
x = - 18

Find the length of the segment then find the coordinates of the midpoint of the segment

Answers

look for the middle of the coordinate plane

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what is cos of negative pi/3? what is sin of negative pi/3?

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what is cos of negative pi/3?
what is sin of negative pi/3?